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Updated macros for PHOS alignment calculation
[u/mrichter/AliRoot.git] / Vc / src / const.cpp
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c017a39f 1/* This file is part of the Vc library.
2
3 Copyright (C) 2009-2012 Matthias Kretz <kretz@kde.org>
4
5 Vc is free software: you can redistribute it and/or modify
6 it under the terms of the GNU Lesser General Public License as
7 published by the Free Software Foundation, either version 3 of
8 the License, or (at your option) any later version.
9
10 Vc is distributed in the hope that it will be useful, but
11 WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 GNU Lesser General Public License for more details.
14
15 You should have received a copy of the GNU Lesser General Public
16 License along with Vc. If not, see <http://www.gnu.org/licenses/>.
17
18*/
19
20#ifndef V_ALIGN
21# ifdef __GNUC__
22# define V_ALIGN(n) __attribute__((aligned(n)))
23# else
24# define V_ALIGN(n) __declspec(align(n))
25# endif
26#endif
27
28#include "Vc/avx/const_data.h"
29#include "Vc/sse/const_data.h"
30#include <Vc/version.h>
31
32#include <cstdio>
33#include <cstdlib>
34#include <cstring>
35
36#include "Vc/common/macros.h"
37
38namespace AliRoot {
39namespace Vc
40{
41namespace AVX
42{
43 // cacheline 1
44 V_ALIGN(64) extern const unsigned int _IndexesFromZero32[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
45 V_ALIGN(16) extern const unsigned short _IndexesFromZero16[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
46 V_ALIGN(16) extern const unsigned char _IndexesFromZero8 [16]= { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 };
47
48 template<> const double c_trig<double>::data[] = {
49 // cacheline 4
50 Vc_buildDouble(1, 0x921fb54442d18ull, -1), // π/4
51 Vc_buildDouble(1, 0x921fb40000000ull, -1), // π/4 - 30bits precision
52 Vc_buildDouble(1, 0x4442d00000000ull, -25), // π/4 remainder1 - 32bits precision
53 Vc_buildDouble(1, 0x8469898cc5170ull, -49), // π/4 remainder2
54 0.0625,
55 16.,
56 0., // padding
57 0., // padding
58 // cacheline 5
59 Vc_buildDouble( 1, 0x555555555554bull, -5), // ~ 1/4!
60 Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10), // ~-1/6!
61 Vc_buildDouble( 1, 0xa01a019c844f5ull, -16), // ~ 1/8!
62 Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22), // ~-1/10!
63 Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29), // ~ 1/12!
64 Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37), // ~-1/14!
65 Vc_buildDouble(-1, 0x5555555555548ull, -3), // ~-1/3!
66 Vc_buildDouble( 1, 0x111111110f7d0ull, -7), // ~ 1/5!
67 // cacheline 8
68 Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13), // ~-1/7!
69 Vc_buildDouble( 1, 0x71de3567d48a1ull, -19), // ~ 1/9!
70 Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26), // ~-1/11!
71 Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33), // ~ 1/13!
72 0., // padding (for alignment with float)
73 Vc_buildDouble(1, 0x8BE60DB939105ull, 0), // 4/π
74 Vc_buildDouble(1, 0x921fb54442d18ull, 0), // π/2
75 Vc_buildDouble(1, 0x921fb54442d18ull, 1), // π
76 // cacheline 10
77 Vc_buildDouble(-1, 0xc007fa1f72594ull, -1), // atan P coefficients
78 Vc_buildDouble(-1, 0x028545b6b807aull, 4), // atan P coefficients
79 Vc_buildDouble(-1, 0x2c08c36880273ull, 6), // atan P coefficients
80 Vc_buildDouble(-1, 0xeb8bf2d05ba25ull, 6), // atan P coefficients
81 Vc_buildDouble(-1, 0x03669fd28ec8eull, 6), // atan P coefficients
82 Vc_buildDouble( 1, 0x8dbc45b14603cull, 4), // atan Q coefficients
83 Vc_buildDouble( 1, 0x4a0dd43b8fa25ull, 7), // atan Q coefficients
84 Vc_buildDouble( 1, 0xb0e18d2e2be3bull, 8), // atan Q coefficients
85 // cacheline 12
86 Vc_buildDouble( 1, 0xe563f13b049eaull, 8), // atan Q coefficients
87 Vc_buildDouble( 1, 0x8519efbbd62ecull, 7), // atan Q coefficients
88 Vc_buildDouble( 1, 0x3504f333f9de6ull, 1), // tan( 3/8 π )
89 0.66, // lower threshold for special casing in atan
90 Vc_buildDouble(1, 0x1A62633145C07ull, -54), // remainder of pi/2
91 1.e-8, // small asin input threshold
92 0.625, // large asin input threshold
93 0., // padding
94 // cacheline 14
95 Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9), // asinCoeff0
96 Vc_buildDouble(-1, 0x2079259f9290full, -1), // asinCoeff0
97 Vc_buildDouble( 1, 0xbdff5baf33e6aull, 2), // asinCoeff0
98 Vc_buildDouble(-1, 0x991aaac01ab68ull, 4), // asinCoeff0
99 Vc_buildDouble( 1, 0xc896240f3081dull, 4), // asinCoeff0
100 Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull, 4), // asinCoeff1
101 Vc_buildDouble( 1, 0x26219af6a7f42ull, 7), // asinCoeff1
102 Vc_buildDouble(-1, 0x7fe08959063eeull, 8), // asinCoeff1
103 // cacheline 16
104 Vc_buildDouble( 1, 0x56709b0b644beull, 8), // asinCoeff1
105 Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8), // asinCoeff2
106 Vc_buildDouble(-1, 0x34341333e5c16ull, -1), // asinCoeff2
107 Vc_buildDouble( 1, 0x5c74b178a2dd9ull, 2), // asinCoeff2
108 Vc_buildDouble(-1, 0x04331de27907bull, 4), // asinCoeff2
109 Vc_buildDouble( 1, 0x39007da779259ull, 4), // asinCoeff2
110 Vc_buildDouble(-1, 0x0656c06ceafd5ull, 3), // asinCoeff2
111 Vc_buildDouble(-1, 0xd7b590b5e0eabull, 3), // asinCoeff3
112 // cacheline 18
113 Vc_buildDouble( 1, 0x19fc025fe9054ull, 6), // asinCoeff3
114 Vc_buildDouble(-1, 0x265bb6d3576d7ull, 7), // asinCoeff3
115 Vc_buildDouble( 1, 0x1705684ffbf9dull, 7), // asinCoeff3
116 Vc_buildDouble(-1, 0x898220a3607acull, 5), // asinCoeff3
117 };
118#define _4(x) x
119 template<> const float c_trig<float>::data[] = {
120 // cacheline
121 _4(Vc_buildFloat( 1, 0x490FDB, -1)), // π/4
122 _4(Vc_buildFloat( 1, 0x491000, -1)), // π/4 - 12 bits precision
123 _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
124 _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
125 _4(0.0625f),
126 _4(16.f),
127 _4(0.f), // padding
128 _4(0.f), // padding
129 _4(4.166664568298827e-2f), // ~ 1/4!
130 _4(-1.388731625493765e-3f), // ~-1/6!
131 _4(2.443315711809948e-5f), // ~ 1/8!
132 _4(0.f), // padding (for alignment with double)
133 _4(0.f), // padding (for alignment with double)
134 _4(0.f), // padding (for alignment with double)
135 _4(-1.6666654611e-1f), // ~-1/3!
136 _4(8.3321608736e-3f), // ~ 1/5!
137 // cacheline
138 _4(-1.9515295891e-4f), // ~-1/7!
139 _4(0.f), // padding (for alignment with double)
140 _4(0.f), // padding (for alignment with double)
141 _4(0.f), // padding (for alignment with double)
142 _4(8192.f), // loss threshold
143 _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
144 _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
145 _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
146 _4(8.05374449538e-2f), // atan P coefficients
147 _4(1.38776856032e-1f), // atan P coefficients
148 _4(1.99777106478e-1f), // atan P coefficients
149 _4(3.33329491539e-1f), // atan P coefficients
150 _4(0.f), // padding (for alignment with double)
151 _4(0.f), // padding (for alignment with double)
152 _4(0.f), // padding (for alignment with double)
153 _4(0.f), // padding (for alignment with double)
154 // cacheline
155 _4(0.f), // padding (for alignment with double)
156 _4(0.f), // padding (for alignment with double)
157 _4(2.414213562373095f), // tan( 3/8 π )
158 _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
159 _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
160 _4(1.e-4f), // small asin input threshold
161 _4(0.f), // padding (for alignment with double)
162 _4(0.f), // padding (for alignment with double)
163 _4(4.2163199048e-2f), // asinCoeff0
164 _4(2.4181311049e-2f), // asinCoeff0
165 _4(4.5470025998e-2f), // asinCoeff0
166 _4(7.4953002686e-2f), // asinCoeff0
167 _4(1.6666752422e-1f), // asinCoeff0
168 _4(0.f), // padding (for alignment with double)
169 _4(0.f), // padding (for alignment with double)
170 _4(0.f), // padding (for alignment with double)
171 // cacheline
172 _4(0.f), // padding (for alignment with double)
173 _4(0.f), // padding (for alignment with double)
174 _4(0.f), // padding (for alignment with double)
175 _4(0.f), // padding (for alignment with double)
176 _4(0.f), // padding (for alignment with double)
177 _4(0.f), // padding (for alignment with double)
178 _4(0.f), // padding (for alignment with double)
179 _4(0.f), // padding (for alignment with double)
180 _4(0.f), // padding (for alignment with double)
181 _4(0.f), // padding (for alignment with double)
182 _4(0.f), // padding (for alignment with double)
183 _4(0.f), // padding (for alignment with double)
184 };
185#undef _4
186
187 const unsigned int c_general::absMaskFloat[2] = { 0xffffffffu, 0x7fffffffu };
188 const unsigned int c_general::signMaskFloat[2] = { 0x0u, 0x80000000u };
189 const unsigned int c_general::highMaskFloat = 0xfffff000u;
190 const float c_general::oneFloat = 1.f;
191 const unsigned short c_general::minShort[2] = { 0x8000u, 0x8000u };
192 const unsigned short c_general::one16[2] = { 1, 1 };
193 const float c_general::_2power31 = 1u << 31;
194
195 // cacheline 4
196 const unsigned long long c_general::highMaskDouble = 0xfffffffff8000000ull;
197 const double c_general::oneDouble = 1.;
198 const unsigned long long c_general::frexpMask = 0xbfefffffffffffffull;
199
200 const unsigned long long c_log<double>::data[21] = {
201 0x000003ff000003ffull // bias TODO: remove
202 , 0x7ff0000000000000ull // exponentMask (+inf)
203
204 , 0x3f1ab4c293c31bb0ull // P[0]
205 , 0x3fdfd6f53f5652f2ull // P[1]
206 , 0x4012d2baed926911ull // P[2]
207 , 0x402cff72c63eeb2eull // P[3]
208 , 0x4031efd6924bc84dull // P[4]
209 , 0x401ed5637d7edcf8ull // P[5]
210
211 , 0x40269320ae97ef8eull // Q[0]
212 , 0x40469d2c4e19c033ull // Q[1]
213 , 0x4054bf33a326bdbdull // Q[2]
214 , 0x4051c9e2eb5eae21ull // Q[3]
215 , 0x4037200a9e1f25b2ull // Q[4]
216
217 , 0xfff0000000000000ull // -inf
218 , 0x0010000000000000ull // min()
219 , 0x3fe6a09e667f3bcdull // 1/sqrt(2)
220 , 0x3fe6300000000000ull // round(ln(2) * 512) / 512
221 , 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
222 , 0x3fe0000000000000ull // 0.5
223 , 0x3fdbcb7b1526e50eull // log10(e)
224 , 0x3ff71547652b82feull // log2(e)
225 };
226
227 template<> const unsigned int c_log<float>::data[21] = {
228 0x0000007fu // bias TODO: remove
229 , 0x7f800000u // exponentMask (+inf)
230
231 , 0x3d9021bbu // 7.0376836292e-2f // P[0]
232 , 0xbdebd1b8u // -1.1514610310e-1f // P[1]
233 , 0x3def251au // 1.1676998740e-1f // P[2]
234 , 0xbdfe5d4fu // -1.2420140846e-1f // P[3]
235 , 0x3e11e9bfu // 1.4249322787e-1f // P[4]
236 , 0xbe2aae50u // -1.6668057665e-1f // P[5]
237 , 0x3e4cceacu // 2.0000714765e-1f // P[6]
238 , 0xbe7ffffcu // -2.4999993993e-1f // P[7]
239 , 0x3eaaaaaau // 3.3333331174e-1f // P[8]
240 , 0 // padding because of c_log<double>
241 , 0 // padding because of c_log<double>
242
243 , 0xff800000u // -inf
244 , 0x00800000u // min()
245 , 0x3f3504f3u // 1/sqrt(2)
246 , 0x3f318000u // round(ln(2) * 512) / 512
247 , 0xb95e8083u // ln(2) - round(ln(2) * 512) / 512
248 , 0x3f000000u // 0.5
249 , 0x3ede5bd9u // log10(e)
250 , 0x3fb8aa3bu // log2(e)
251 };
252} // namespace AVX
253
254namespace SSE
255{
256 // cacheline 1
257 V_ALIGN(64) const int c_general::absMaskFloat[4] = { 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff };
258 V_ALIGN(16) const unsigned int c_general::signMaskFloat[4] = { 0x80000000, 0x80000000, 0x80000000, 0x80000000 };
259 V_ALIGN(16) const unsigned int c_general::highMaskFloat[4] = { 0xfffff000u, 0xfffff000u, 0xfffff000u, 0xfffff000u };
260 V_ALIGN(16) const short c_general::minShort[8] = { -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000 };
261 V_ALIGN(16) extern const unsigned short _IndexesFromZero8[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
262
263 // cacheline 2
264 V_ALIGN(16) extern const unsigned int _IndexesFromZero4[4] = { 0, 1, 2, 3 };
265 V_ALIGN(16) const unsigned short c_general::one16[8] = { 1, 1, 1, 1, 1, 1, 1, 1 };
266 V_ALIGN(16) const unsigned int c_general::one32[4] = { 1, 1, 1, 1 };
267 V_ALIGN(16) const float c_general::oneFloat[4] = { 1.f, 1.f, 1.f, 1.f };
268
269 // cacheline 3
270 V_ALIGN(16) const unsigned long long c_general::highMaskDouble[2] = { 0xfffffffff8000000ull, 0xfffffffff8000000ull };
271 V_ALIGN(16) const double c_general::oneDouble[2] = { 1., 1. };
272 V_ALIGN(16) const long long c_general::absMaskDouble[2] = { 0x7fffffffffffffffll, 0x7fffffffffffffffll };
273 V_ALIGN(16) const unsigned long long c_general::signMaskDouble[2] = { 0x8000000000000000ull, 0x8000000000000000ull };
274 V_ALIGN(16) const unsigned long long c_general::frexpMask[2] = { 0xbfefffffffffffffull, 0xbfefffffffffffffull };
275
276#define _2(x) x, x
277 template<> const double c_trig<double>::data[] = {
278 // cacheline 4
279 _2(Vc_buildDouble(1, 0x921fb54442d18ull, -1)), // π/4
280 _2(Vc_buildDouble(1, 0x921fb40000000ull, -1)), // π/4 - 30bits precision
281 _2(Vc_buildDouble(1, 0x4442d00000000ull, -25)), // π/4 remainder1 - 32bits precision
282 _2(Vc_buildDouble(1, 0x8469898cc5170ull, -49)), // π/4 remainder2
283 // cacheline 5
284 _2(0.0625),
285 _2(16.),
286 _2(0.), // padding
287 _2(0.), // padding
288 // cacheline 6
289 _2(Vc_buildDouble( 1, 0x555555555554bull, -5)), // ~ 1/4!
290 _2(Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10)), // ~-1/6!
291 _2(Vc_buildDouble( 1, 0xa01a019c844f5ull, -16)), // ~ 1/8!
292 _2(Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22)), // ~-1/10!
293 // cacheline 7
294 _2(Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29)), // ~ 1/12!
295 _2(Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37)), // ~-1/14!
296 _2(Vc_buildDouble(-1, 0x5555555555548ull, -3)), // ~-1/3!
297 _2(Vc_buildDouble( 1, 0x111111110f7d0ull, -7)), // ~ 1/5!
298 // cacheline 8
299 _2(Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13)), // ~-1/7!
300 _2(Vc_buildDouble( 1, 0x71de3567d48a1ull, -19)), // ~ 1/9!
301 _2(Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26)), // ~-1/11!
302 _2(Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33)), // ~ 1/13!
303 // cacheline 9
304 _2(0.), // padding (for alignment with float)
305 _2(Vc_buildDouble(1, 0x8BE60DB939105ull, 0)), // 4/π
306 _2(Vc_buildDouble(1, 0x921fb54442d18ull, 0)), // π/2
307 _2(Vc_buildDouble(1, 0x921fb54442d18ull, 1)), // π
308 // cacheline 10
309 _2(Vc_buildDouble(-1, 0xc007fa1f72594ull, -1)), // atan P coefficients
310 _2(Vc_buildDouble(-1, 0x028545b6b807aull, 4)), // atan P coefficients
311 _2(Vc_buildDouble(-1, 0x2c08c36880273ull, 6)), // atan P coefficients
312 _2(Vc_buildDouble(-1, 0xeb8bf2d05ba25ull, 6)), // atan P coefficients
313 // cacheline 11
314 _2(Vc_buildDouble(-1, 0x03669fd28ec8eull, 6)), // atan P coefficients
315 _2(Vc_buildDouble( 1, 0x8dbc45b14603cull, 4)), // atan Q coefficients
316 _2(Vc_buildDouble( 1, 0x4a0dd43b8fa25ull, 7)), // atan Q coefficients
317 _2(Vc_buildDouble( 1, 0xb0e18d2e2be3bull, 8)), // atan Q coefficients
318 // cacheline 12
319 _2(Vc_buildDouble( 1, 0xe563f13b049eaull, 8)), // atan Q coefficients
320 _2(Vc_buildDouble( 1, 0x8519efbbd62ecull, 7)), // atan Q coefficients
321 _2(Vc_buildDouble( 1, 0x3504f333f9de6ull, 1)), // tan( 3/8 π )
322 _2(0.66), // lower threshold for special casing in atan
323 // cacheline 13
324 _2(Vc_buildDouble(1, 0x1A62633145C07ull, -54)), // remainder of pi/2
325 _2(1.e-8), // small asin input threshold
326 _2(0.625), // large asin input threshold
327 _2(0.), // padding
328 // cacheline 14
329 _2(Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9)), // asinCoeff0
330 _2(Vc_buildDouble(-1, 0x2079259f9290full, -1)), // asinCoeff0
331 _2(Vc_buildDouble( 1, 0xbdff5baf33e6aull, 2)), // asinCoeff0
332 _2(Vc_buildDouble(-1, 0x991aaac01ab68ull, 4)), // asinCoeff0
333 // cacheline 15
334 _2(Vc_buildDouble( 1, 0xc896240f3081dull, 4)), // asinCoeff0
335 _2(Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull, 4)), // asinCoeff1
336 _2(Vc_buildDouble( 1, 0x26219af6a7f42ull, 7)), // asinCoeff1
337 _2(Vc_buildDouble(-1, 0x7fe08959063eeull, 8)), // asinCoeff1
338 // cacheline 16
339 _2(Vc_buildDouble( 1, 0x56709b0b644beull, 8)), // asinCoeff1
340 _2(Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8)), // asinCoeff2
341 _2(Vc_buildDouble(-1, 0x34341333e5c16ull, -1)), // asinCoeff2
342 _2(Vc_buildDouble( 1, 0x5c74b178a2dd9ull, 2)), // asinCoeff2
343 // cacheline 17
344 _2(Vc_buildDouble(-1, 0x04331de27907bull, 4)), // asinCoeff2
345 _2(Vc_buildDouble( 1, 0x39007da779259ull, 4)), // asinCoeff2
346 _2(Vc_buildDouble(-1, 0x0656c06ceafd5ull, 3)), // asinCoeff2
347 _2(Vc_buildDouble(-1, 0xd7b590b5e0eabull, 3)), // asinCoeff3
348 // cacheline 18
349 _2(Vc_buildDouble( 1, 0x19fc025fe9054ull, 6)), // asinCoeff3
350 _2(Vc_buildDouble(-1, 0x265bb6d3576d7ull, 7)), // asinCoeff3
351 _2(Vc_buildDouble( 1, 0x1705684ffbf9dull, 7)), // asinCoeff3
352 _2(Vc_buildDouble(-1, 0x898220a3607acull, 5)), // asinCoeff3
353 };
354#undef _2
355#define _4(x) x, x, x, x
356 template<> const float c_trig<float>::data[] = {
357 // cacheline
358 _4(Vc_buildFloat( 1, 0x490FDB, -1)), // π/4
359 _4(Vc_buildFloat( 1, 0x491000, -1)), // π/4 - 12 bits precision
360 _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
361 _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
362 // cacheline
363 _4(0.0625f),
364 _4(16.f),
365 _4(0.f), // padding
366 _4(0.f), // padding
367 // cacheline
368 _4(4.166664568298827e-2f), // ~ 1/4!
369 _4(-1.388731625493765e-3f), // ~-1/6!
370 _4(2.443315711809948e-5f), // ~ 1/8!
371 _4(0.f), // padding (for alignment with double)
372 // cacheline
373 _4(0.f), // padding (for alignment with double)
374 _4(0.f), // padding (for alignment with double)
375 _4(-1.6666654611e-1f), // ~-1/3!
376 _4(8.3321608736e-3f), // ~ 1/5!
377 // cacheline
378 _4(-1.9515295891e-4f), // ~-1/7!
379 _4(0.f), // padding (for alignment with double)
380 _4(0.f), // padding (for alignment with double)
381 _4(0.f), // padding (for alignment with double)
382 // cacheline
383 _4(8192.f), // loss threshold
384 _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
385 _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
386 _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
387 // cacheline
388 _4(8.05374449538e-2f), // atan P coefficients
389 _4(1.38776856032e-1f), // atan P coefficients
390 _4(1.99777106478e-1f), // atan P coefficients
391 _4(3.33329491539e-1f), // atan P coefficients
392 // cacheline
393 _4(0.f), // padding (for alignment with double)
394 _4(0.f), // padding (for alignment with double)
395 _4(0.f), // padding (for alignment with double)
396 _4(0.f), // padding (for alignment with double)
397 // cacheline
398 _4(0.f), // padding (for alignment with double)
399 _4(0.f), // padding (for alignment with double)
400 _4(2.414213562373095f), // tan( 3/8 π )
401 _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
402 // cacheline
403 _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
404 _4(1.e-4f), // small asin input threshold
405 _4(0.f), // padding (for alignment with double)
406 _4(0.f), // padding (for alignment with double)
407 // cacheline
408 _4(4.2163199048e-2f), // asinCoeff0
409 _4(2.4181311049e-2f), // asinCoeff0
410 _4(4.5470025998e-2f), // asinCoeff0
411 _4(7.4953002686e-2f), // asinCoeff0
412 // cacheline
413 _4(1.6666752422e-1f), // asinCoeff0
414 _4(0.f), // padding (for alignment with double)
415 _4(0.f), // padding (for alignment with double)
416 _4(0.f), // padding (for alignment with double)
417 // cacheline
418 _4(0.f), // padding (for alignment with double)
419 _4(0.f), // padding (for alignment with double)
420 _4(0.f), // padding (for alignment with double)
421 _4(0.f), // padding (for alignment with double)
422 // cacheline
423 _4(0.f), // padding (for alignment with double)
424 _4(0.f), // padding (for alignment with double)
425 _4(0.f), // padding (for alignment with double)
426 _4(0.f), // padding (for alignment with double)
427 // cacheline
428 _4(0.f), // padding (for alignment with double)
429 _4(0.f), // padding (for alignment with double)
430 _4(0.f), // padding (for alignment with double)
431 _4(0.f), // padding (for alignment with double)
432 };
433#undef _4
434
435 // cacheline 8
436 V_ALIGN(16) extern const unsigned char _IndexesFromZero16[16] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 };
437
438 V_ALIGN(64) const unsigned long long c_log<double>::data[21 * 2] = {
439 /* 0*/ 0x000003ff000003ffull, 0x000003ff000003ffull // bias TODO: remove
440 /* 1*/ , 0x7ff0000000000000ull, 0x7ff0000000000000ull // exponentMask (+inf)
441
442 /* 2*/ , 0x3f1ab4c293c31bb0ull, 0x3f1ab4c293c31bb0ull // P[0]
443 /* 3*/ , 0x3fdfd6f53f5652f2ull, 0x3fdfd6f53f5652f2ull // P[1]
444 /* 4*/ , 0x4012d2baed926911ull, 0x4012d2baed926911ull // P[2]
445 /* 5*/ , 0x402cff72c63eeb2eull, 0x402cff72c63eeb2eull // P[3]
446 /* 6*/ , 0x4031efd6924bc84dull, 0x4031efd6924bc84dull // P[4]
447 /* 7*/ , 0x401ed5637d7edcf8ull, 0x401ed5637d7edcf8ull // P[5]
448
449 /* 8*/ , 0x40269320ae97ef8eull, 0x40269320ae97ef8eull // Q[0]
450 /* 9*/ , 0x40469d2c4e19c033ull, 0x40469d2c4e19c033ull // Q[1]
451 /*10*/ , 0x4054bf33a326bdbdull, 0x4054bf33a326bdbdull // Q[2]
452 /*11*/ , 0x4051c9e2eb5eae21ull, 0x4051c9e2eb5eae21ull // Q[3]
453 /*12*/ , 0x4037200a9e1f25b2ull, 0x4037200a9e1f25b2ull // Q[4]
454
455 /*13*/ , 0xfff0000000000000ull, 0xfff0000000000000ull // -inf
456 /*14*/ , 0x0010000000000000ull, 0x0010000000000000ull // min()
457 /*15*/ , 0x3fe6a09e667f3bcdull, 0x3fe6a09e667f3bcdull // 1/sqrt(2)
458 /*16*/ , 0x3fe6300000000000ull, 0x3fe6300000000000ull // round(ln(2) * 512) / 512
459 /*17*/ , 0xbf2bd0105c610ca8ull, 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
460 /*18*/ , 0x3fe0000000000000ull, 0x3fe0000000000000ull // 0.5
461 /*19*/ , 0x3fdbcb7b1526e50eull, 0x3fdbcb7b1526e50eull // log10(e)
462 /*20*/ , 0x3ff71547652b82feull, 0x3ff71547652b82feull // log2(e)
463 };
464
465 template<> V_ALIGN(64) const unsigned int c_log<float>::data[21 * 4] = {
466 0x0000007fu, 0x0000007fu, 0x0000007fu, 0x0000007fu, // bias TODO: remove
467 0x7f800000u, 0x7f800000u, 0x7f800000u, 0x7f800000u, // exponentMask (+inf)
468
469 0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, // 7.0376836292e-2f // P[0]
470 0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, // -1.1514610310e-1f // P[1]
471 0x3def251au, 0x3def251au, 0x3def251au, 0x3def251au, // 1.1676998740e-1f // P[2]
472 0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, // -1.2420140846e-1f // P[3]
473 0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, // 1.4249322787e-1f // P[4]
474 0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, // -1.6668057665e-1f // P[5]
475 0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, // 2.0000714765e-1f // P[6]
476 0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, // -2.4999993993e-1f // P[7]
477 0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, // 3.3333331174e-1f // P[8]
478 0, 0, 0, 0, // padding because of c_log<double>
479 0, 0, 0, 0, // padding because of c_log<double>
480
481 0xff800000u, 0xff800000u, 0xff800000u, 0xff800000u, // -inf
482 0x00800000u, 0x00800000u, 0x00800000u, 0x00800000u, // min()
483 0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, // 1/sqrt(2)
484 // ln(2) = 0x3fe62e42fefa39ef
485 // ln(2) = Vc_buildDouble( 1, 0x00062e42fefa39ef, -1)
486 // = Vc_buildFloat( 1, 0x00317217(f7d), -1) + Vc_buildFloat( 1, 0x0077d1cd, -25)
487 // = Vc_buildFloat( 1, 0x00318000(000), -1) + Vc_buildFloat(-1, 0x005e8083, -13)
488 0x3f318000u, 0x3f318000u, 0x3f318000u, 0x3f318000u, // round(ln(2) * 512) / 512
489 0xb95e8083u, 0xb95e8083u, 0xb95e8083u, 0xb95e8083u, // ln(2) - round(ln(2) * 512) / 512
490 0x3f000000u, 0x3f000000u, 0x3f000000u, 0x3f000000u, // 0.5
491 0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, // log10(e)
492 0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, // log2(e)
493 // log10(2) = 0x3fd34413509f79ff
494 // = Vc_buildDouble( 1, 0x00034413509f79ff, -2)
495 // = Vc_buildFloat( 1, 0x001a209a(84fbcff8), -2) + Vc_buildFloat( 1, 0x0004fbcff(8), -26)
496 //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
497 //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
498 //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
499 //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
500 };
501} // namespace SSE
502
503V_ALIGN(64) unsigned int RandomState[16] = {
504 0x5a383a4fu, 0xc68bd45eu, 0x691d6d86u, 0xb367e14fu,
505 0xd689dbaau, 0xfde442aau, 0x3d265423u, 0x1a77885cu,
506 0x36ed2684u, 0xfb1f049du, 0x19e52f31u, 0x821e4dd7u,
507 0x23996d25u, 0x5962725au, 0x6aced4ceu, 0xd4c610f3u
508};
509
510// dummy symbol to emit warnings with GCC 4.3
511namespace Warnings {
512 void _operator_bracket_warning() {}
513} // namespace Warnings
514
515const char LIBRARY_VERSION[] = VC_VERSION_STRING;
516const unsigned int LIBRARY_VERSION_NUMBER = VC_VERSION_NUMBER;
517const unsigned int LIBRARY_ABI_VERSION = VC_LIBRARY_ABI_VERSION;
518
519void checkLibraryAbi(unsigned int compileTimeAbi, unsigned int versionNumber, const char *compileTimeVersion) {
520 if (LIBRARY_ABI_VERSION != compileTimeAbi || LIBRARY_VERSION_NUMBER < versionNumber) {
521 printf("The versions of libVc.a (%s) and Vc/version.h (%s) are incompatible. Aborting.\n", LIBRARY_VERSION, compileTimeVersion);
522 abort();
523 }
524}
525
526} // namespace Vc
527} // namespace AliRoot
528
529#undef V_ALIGN